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Finding the Fourth Proportional to 6,301.49, 9,441.32 and 3,831.12

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Solution

The fourth proportional to 6,301.49, 9,441.32 and 3,831.12 is: 5,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.49 : 9,441.32 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    6,301.49/9,441.32 = 3,831.12/x
  3. Step 3: Cross multiply
    6,301.49x = 9,441.32 × 3,831.12
  4. Step 4: Simplify right side
    6,301.49x = 36,170,810.72
  5. Step 5: Solve for x
    x = 36,170,810.72/6,301.49
  6. Step 6: Final answer
    x = 5,740.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.